Topic: FE Analysis and Design Optimization of Mechanical Structural systems
Generally, any engineering applications, or any numerical examples provided that the FEM and/or Design Optimization techniques are involved should be acceptable. You do not have to use ANAYS or Matlab, and any software tools that are suitable for this subject are acceptable.
Hence, you may freely choose and devise your own design problem for your group project, relevant to this subject in a general sense (e.g. numerical examples or practice-based engineering design problems).
You may apply Finite Element Method and Design Optimization techniques to any structural mechanical components as a numerical problem or as a practice-based design problem of your own choice, with appropriate geometric dimensions, loads and constraints, as well as simulation and optimization parameters. You may complete this project individually or in groups of up to 5.
This Project should take a typical group up to 40 hours to complete. It is noted that this project can either be completed using Matlab to develop your own codes, or any commercial software tools like ANSYS, Solidworks, Catia or Creo for any real-world engineering problems.
Basically, your report should include (but not limited to) the following aspects:
- Problem description and statement
- CAD model; and Finite element procedures and analysis
- Design optimization model (design variables; objective function; constraints) (4) Numerical analysis and simulation in detail;
- Matlab codes, with detailed explanations, if you use Matlab
- Results and discussions, as well as conclusions
Problem description and statement
Considering the cantilever beams with the uniform load, there is a beam and the other half structures which are set with the structural forces. The pattern includes the working of the moments for the different members of the beam through the use of the ANSYS or the MATLAB structure. With this, there are methods which are for the versatility and the computational efficiency and the suitability of the system and the integration. The optimisation of design is for the iterative solution procedure with the criteria based on the integration of the sensitivity analysis and the optimisation of the mathematical standards. the objectives are set with the designing along with the check over structural forces are set over the beam. (Ladicola et al., 2016).
The aim of the project is the numerical simulation of the cantilever beam which has been set with the uniform varying load and the distributed load standards.
The major problem statement is to consider the reaction forces and the moments with the determination of the cantilever beam where the problems are analysed through the use of the static structural analysis in ANSYS. The structure is also defined for the free body diagram.
The sketch has been mainly for showing the free body diagram structure with the support and the representation of the load that has been applied to the structure. There are meshing in Ansys, where the body is divided into the smaller nodes to calculate the proper results. A condition is to evaluate the support and the load which is for the reaction force at support. For the accurate representation of the complex geometry standards, it includes the material properties with the easy representation of the solutions. (Lei et al., 2006). For this, the check is on how to handle the domains of the problems with the collection of the subdomains that are set with the representation by the set of the elements. For this, the elements are also evaluated based on the partial differential equations where the error is mainly caused by the trial functions and the weight of the polynomial approximated functions. Here, the FEM is set for the performance of the engineering analysis which includes the oriented adjustments with reference to the coordinate system to evaluate the data generation and work on the transformation of the coordinates.
To design the optimisation model, there is a use of the meshes that are for the proper handling of coordinate system. Along with this, the performance of the tools is evaluated based on the structural changes and the complicated domains. The instances are set with the reduced costs like the load and the discretization strategy with the advantages and the disadvantages. There are formulations and the variations procedures for designing the extraction process with the data of interest for the finite element solution. Hence, to meet the requirements of the solution, there are verification procedures which need to also provide with the system standards and how it is possibility to adapt the moving nodes, with refined elements and the changed base functions. The combinations are mainly for working over the system patterns along with the structure that support the basis of the structural element. (Lisle et al., 2017). The higher order partial methods are for the differential equations with the check on how these functions are able to work on the system improvement with the cantilever loading. The finite methods are also for the adaptivity with the variable size that includes the convergence rates and the differentiability formats for achieving the singularity and the boundary layers. The significant improvement of the rates and the currency is through the alleviation of the rates and the accuracy where the computational cost and the project errors are associated with finite element methods. The ranges are set to define the ridges and to check with the attractive features of the finite differences where the quality is for the specialisation and to handle the finite volume method structures as well. FEM works on the visualisation where the structures need to bend or twist with the proper distribution of the stresses and the displacements. The control of the modelling standards and the analysis is through the designing and refining the optimised system structure. The improvement is also through the applications where the control is to minimise the costs and the weight which is related to the element methods.
CAD model; and Finite element procedures and analysis
ANSYS is the structural analysis software which helps in solving all the problems of the structural engineering to make the designing faster and smoother. The customisation of the automation solutions for the structural mechanics and the problems is based on categorising and working on the optimisation of the product designs with reduced costs of the physical tests. The designers and the occasional users need to also look for the easy and the accurate results with the larger assemblies of the non-linear behaviour. A complete structural range is set to define the advancement of the technology with the designing that is considered to be under the analysis of the parts and the assemblies. The range of contact capabilities help in understanding the accumulation of the damage with the fast learning experience and the ability for the greater productivity. The Finite Element Analysis is the method which is for the product and to react to the real world forces which are set with the vibrational and the other effects. This includes the forms where the product development processes are also set with the effects that include the mechanical stress, vibration, fatigue and motion. (Lindgaard et al., 2017). There are other issues which are related to the heat transfer and the flow of the fluid where there is a need to handle the boundary value problems for the differential equations. There are other variational methods from the variations which are set with minimising the error associated functions as well. Hence, for this, the complexity is based on the inclusion of the dissimilar properties with the range that is set for the total solution and capturing of the local effects. The division of the domain of the problems is in the collection of the subdomains with the representation mainly to recombine the sets of the elements in the global system for the better initial values.(Stamopoulos et al., 2017).
The primary aim of the project has been to work on the calculation of the structural forces with the structural moments that are for the different members of the beam. For this, the calculated structural forces are set with the use of the Ansys that works on the platforms to meet the goals and the project is able to handle and allow the user for the input of all the important information. The conditions are based on the deflection with the shear force that is set to manage with the bending moment and the setup that woul include the designing to meet the system effects with the deflection to prevent the crack formation as well. (Pegg et al., 2016). Hence, there is a charge to check on the shear values with the beam critical in the shear to handle the variations with the setup of the length that is used to design the beam of the reinforcement patterns. This also works with the designing of the beam with the standards that are mainly due to the analysis using MATLAB which is due to the error in the coding. Hence, one is not able to get the output through the MATLAB where the setup is of the coding knowledge.
Iadicola, M. and Banerjee, D., 2016, August. A comparison of strain calculation using digital image correlation and finite element software. In Journal of Physics: Conference Series (Vol. 734, No. 3, p. 032013). IOP Publishing.
Lei, L., Baolin, W. and Xinbing, X., 2006. Analysis On Contact Stress of Spur Gear Based on ANSYS Finite Element Software [J]. Journal of Mechanical Transmission, 2, p.017.
Lindgaard, E., Bak, B.L.V., Glud, J.A., Sjølund, J. and Christensen, E.T., 2017. A User Programmed Cohesive Zone Finite Element for ANSYS Mechanical. Engineering Fracture Mechanics.
Lisle, T.J., Shaw, B.A. and Frazer, R.C., 2017. External spur gear root bending stress: A comparison of ISO 6336: 2006, AGMA 2101-D04, ANSYS finite element analysis and strain gauge techniques. Mechanism and Machine Theory, 111, pp.1-9.
Pegg, E.C. and Gill, H.S., 2016. An open source software tool to assign the material properties of bone for ABAQUS finite element simulations. Journal of Biomechanics, 49(13), pp.3116-3121.
Stamopoulos, A.G., Tserpes, K.I. and Pantelakis, S.G., 2017. Multiscale finite element prediction of shear and flexural properties of porous CFRP laminates utilizing X-ray CT data. Theoretical and Applied Fracture Mechanics.
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